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A physical trainer boast that her clients can do 70 push ups

A physical trainer boast that her clients can do 70 push ups or more per

person.

The null hypothesis is the clients can do 70 push ups or more.

The alternative hypothesis is the clients can do less than 70 push ups. 

The standard deviation is 8. A random sample has been conduced which shows that out of the 40 samples taken, clients did 67 push ups. 

Is the physical trainers claim true of false? 

 
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